A characterization of when C(K,E) is a Grothendieck space, for reflexive spaces E.

dc.book.title	VIII Jornadas Luso-Espanholas de Matemática : Actas
dc.contributor.author	Cembranos, Pilar
dc.date.accessioned	2023-06-21T02:43:03Z
dc.date.available	2023-06-21T02:43:03Z
dc.date.issued	1981
dc.description	Proceedings of the Eighth Portuguese-Spanish Conference on Mathematics, Vol. II (Coimbra, 1981)
dc.description.abstract	Let C(K,E) be the vector space of all continuous functions on a compact Hausdorff space K with values in a reflexive Banach space E, endowed with the usual uniform norm. We prove in this paper that the Banach space C(K,E) is a Grothendieck space if and only if C(K,E) does not contain a complemented subspace isomorphic to c0
dc.description.department	Depto. de Análisis Matemático y Matemática Aplicada
dc.description.faculty	Fac. de Ciencias Matemáticas
dc.description.refereed	TRUE
dc.description.status	pub
dc.eprint.id	https://eprints.ucm.es/id/eprint/22580
dc.identifier.uri	https://hdl.handle.net/20.500.14352/65474
dc.page.final	82
dc.page.initial	79
dc.publication.place	Coimbra
dc.publisher	Univ. Coimbra
dc.rights.accessRights	metadata only access
dc.subject.cdu	517.98
dc.subject.ucm	Análisis funcional y teoría de operadores
dc.title	A characterization of when C(K,E) is a Grothendieck space, for reflexive spaces E.
dc.type	book part
dc.volume.number	II
dspace.entity.type	Publication

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